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Finding the Third Proportional to 726,736,620 and 1,594,171,014

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Solution

The third proportional to 726,736,620 and 1,594,171,014 is: 3,496,976,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,736,620 : 1,594,171,014 = 1,594,171,014 : x
  2. Step 2: Convert to fraction form
    726,736,620/1,594,171,014 = 1,594,171,014/x
  3. Step 3: Cross multiply
    726,736,620x = 1,594,171,014 × 1,594,171,014
  4. Step 4: Simplify right side
    726,736,620x = 2,541,381,221,877,788,160
  5. Step 5: Solve for x
    x = 2,541,381,221,877,788,160/726,736,620
  6. Step 6: Final answer
    x = 3,496,976,967.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.